Question

LCM and HCF of two numbers are 168 and 14 respectively. If one of the numbers is 42, then find the other number.

• A. 54
• B. 58
• C. 57
• D. 56

Answer 1

Answer:

D. 56

We use the relation:

$\text{Product of two numbers} = \text{LCM} \times \text{HCF}$

Given:
LCM = 168
HCF = 14
One number = 42

Find the product of the two numbers

$168 \times 14 = 2352$

Find the other number

$\text{Other number} = \frac{2352}{42} = 56$

The other number is 56